现代数学导论(英文版)

书籍目录

Course Notes

Introductory Lectures on Surgery Theory

Thomas Farrell and Somnath Basu

Survey Papers

Uniqueness for a Class of Embedded Weingarten Hypersurfaces in Sn+l

Ben Andrews，Zhijie Huang，and Haizhong Li

Geometric Group Theory： An Introduction

Jason Behrstock

The Geometry and Topology of Coxeter Groups

Michael W.Davis

Three Flavors of Twisted Invariants of Knots

Jerome Dubois，Stefan Friedl，and Wolfgang Liick

Homogeneous Dynamics： A Study Guide

Man fred Einsiedler and Thomas Ward

Aspects of Nonnegatively Curved Kahler Manifolds

Xiao—Yong Fu and Xi—Ping Zhu

The Mahler Measure and K2 of Elliptic Curves

Xuejun Guo and Hourong Qin

Which Group is the Most Beautiful？

Lizhen Ji

von Neumann Algebras in Mathematics and Physics

Vaughan Jones

Formules de Poisson non Lineaires et Principe de Fonctorialite de Langlands

Laurent Lafforgue

A Static Uniqueness Theorem for Higher Genus Kottler Metrics

Dan A.Lee

Lectures on Finite Groups

Ronald Solomon

What We Know and What We Don't Know about 4—dimensions

Cliff Taubes

Congruent Number Problem and Arithmetic of Elliptic Curves

Ye Tian

Noncommutative Geometry of Discrete Groups

Zhizhang Xie and Guoliang Yu

作者简介

当代数学主题既是多元化、各成系统，又是紧密地统一在一起。大部分人对于纷繁复杂的各种主题只熟悉其中很少的部分。另一方面，数学中很多主要的发展却来自不同理论和方法的相互交融。

在本书中，我们精选了一些关于当前数学界若干重要和热点主题的综述性文章，目的是提供给读者这些主题的入门介绍以及该主题的概貌。这些文章的作者不乏一些国际顶尖的数学家，如菲尔兹奖得主的Vaughan Jones和Laurent Lafforgue、邵逸夫奖得主的Cliff Taubes等。

本书对于关注数学发展的初学者和专家都是非常有价值的参考读物。

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